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214821445 = 53710111497
BaseRepresentation
bin11001100110111…
…10101001000101
3112222020001121211
430303132221011
5414443241240
633152211421
75215644406
oct1463365105
9488201554
10214821445
11100296593
125bb39b71
13356765a7
142075d9ad
1513cd5bea
hexccdea45

214821445 has 16 divisors (see below), whose sum is σ = 267397488. Its totient is φ = 165542400.

The previous prime is 214821433. The next prime is 214821457. The reversal of 214821445 is 544128412.

It is an interprime number because it is at equal distance from previous prime (214821433) and next prime (214821457).

It can be written as a sum of positive squares in 8 ways, for example, as 49364676 + 165456769 = 7026^2 + 12863^2 .

It is not a de Polignac number, because 214821445 - 213 = 214813253 is a prime.

It is a super-3 number, since 3×2148214453 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12937 + ... + 24433.

It is an arithmetic number, because the mean of its divisors is an integer number (16712343).

Almost surely, 2214821445 is an apocalyptic number.

It is an amenable number.

214821445 is a deficient number, since it is larger than the sum of its proper divisors (52576043).

214821445 is a wasteful number, since it uses less digits than its factorization.

214821445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640.

The product of its digits is 10240, while the sum is 31.

The square root of 214821445 is about 14656.7883589823. The cubic root of 214821445 is about 598.9067546044.

Adding to 214821445 its reverse (544128412), we get a palindrome (758949857).

The spelling of 214821445 in words is "two hundred fourteen million, eight hundred twenty-one thousand, four hundred forty-five".

Divisors: 1 5 37 101 185 505 3737 11497 18685 57485 425389 1161197 2126945 5805985 42964289 214821445